Entropy of mixing exists only for classical and quantum-like theories among the regular polygon theories
Entropy of mixing exists only for classical and quantum-like theories among the regular polygon theories
复制标题
混合熵仅存在于正多边形理论中的经典理论和类量子理论
DOI：
10.1088/1751-8121/ab4a2e
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发表时间：
2018
期刊：
影响因子：
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通讯作者：
Ryo Takakura
中科院分区：
文献类型：
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作者：
Ryo Takakura
由不同种类的理想气体组成的系统的热力学熵在用经典理论或量子理论描述其差异的情况下被成功地定义。由于这些理论是广义概率论（GPTs）框架中的特例，因此很自然地将熵的概念推广到粒子的内部度由其他可能的理论描述的系统。在本文中，我们考虑混合的混合熵的一个特定系列的理论的GPT称为正多边形理论，这可以被视为从几何的角度来看，一个经典的trit和一个量子比特与真实的系数之间的中间理论。证明了在正多边形理论中不存在操作自然混合熵，即自然熵的存在导致了正多边形理论中的经典理论和类量子理论.
The thermodynamical entropy of a system which consists of different kinds of ideal gases is known to be defined successfully in the case when the differences are described by classical or quantum theory. Since these theories are special examples in the framework of generalized probabilistic theories (GPTs), it is natural to generalize the notion of thermodynamical entropy to systems where the internal degrees of particles are described by other possible theories. In this paper, we consider thermodynamical entropy of mixing in a specific series of theories of GPTs called the regular polygon theories, which can be regarded from a geometrical perspective as intermediate theories between a classical trit and a quantum bit with real coefficients. We prove that the operationally natural thermodynamical entropy of mixing does not exist in those inbetween theories, that is, the existence of the natural entropy results in classical and quantum-like theories among the regular polygon theories.
影响因子：
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作者：
Barnum H
通讯作者：
Barnum H